Suitcase and Upward Acceleration

In summary, to find the mass and weight of a suitcase, we can use the equations F=ma and W=mg. Using the given force and acceleration, we can calculate the mass of the suitcase to be 140.903 kg. To find the weight, we can plug this mass back into the weight equation and calculate a weight of 1380.85N. It is important to note that in Newton's 2nd law, the 'F' refers to the net force on the object and there may be multiple forces acting on the suitcase in this scenario.
  • #1
physics114
7
0
Correct? Please let me know if my logic is off? =D

Given Problem
You pull upward on a stuffed suitcase with a force of 103 N, and it accelerates upward at 0.731 m/s2.
(a)What is the mass of the suitcase?
(b)What is the weight of the suitcase?

Relevant equations
F = ma
W = mg

Attempted Solution
Find the mass of the suitcase given the Force and acceleration. Then use the mass found and plug it back into the weight equation to find weight.
(a)
F = ma
m = F / a
m = 103N / 0.731m/s2
m = 140.903 kg
(b)
W = mg
W = (140.903kg) * (9.8m/s2)
W = 1380.85N
 
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  • #2
physics114 said:
(a)
F = ma
m = F / a
m = 103N / 0.731m/s2
m = 140.903 kg
The 'F' in F = ma refers to the net force on the object. A better way to write Newton's 2nd law is: ΣF = ma.

Hint: There are two forces acting on the suitcase.
 

1. How does upward acceleration affect a suitcase?

Upward acceleration refers to any increase in the velocity of an object moving in an upward direction. In the case of a suitcase, upward acceleration can cause the suitcase to become lighter in weight, making it easier to lift or carry. It can also cause the suitcase to shift or move inside a vehicle or on a moving platform.

2. What is the relationship between upward acceleration and the weight of a suitcase?

The weight of a suitcase is directly related to the force of gravity acting on it. As upward acceleration increases, the force of gravity decreases, causing the suitcase to become lighter. However, the actual weight of the suitcase remains the same, as it is a measure of the force of gravity pulling on the object.

3. Can upward acceleration cause damage to a suitcase?

Yes, in some cases, upward acceleration can cause damage to a suitcase. If the acceleration is too sudden or strong, it can cause the contents of the suitcase to shift or break, resulting in damage. It is important to properly secure and pack a suitcase to minimize the risk of damage from upward acceleration.

4. How is upward acceleration measured?

Upward acceleration is typically measured in meters per second squared (m/s²) or in multiples of the acceleration due to gravity (g). This can be done using various instruments such as accelerometers, which measure changes in velocity over time.

5. What is the practical application of understanding upward acceleration in relation to suitcases?

Understanding upward acceleration is important for ensuring the safe transport of suitcases, especially during air travel. It can also be useful for designing and testing luggage that can withstand various levels of upward acceleration, such as during takeoff and landing of an aircraft.

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